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Simplifying 5p2 + -60 = 5p Reorder the terms: -60 + 5p2 = 5p Solving -60 + 5p2 = 5p Solving for variable 'p'. Reorder the terms: -60 + -5p + 5p2 = 5p + -5p Combine like terms: 5p + -5p = 0 -60 + -5p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + -1p + p2) = 0 Factor a trinomial. 5((-3 + -1p)(4 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-3, 4}
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